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90253333044 = 22327273700877
BaseRepresentation
bin101010000001110000…
…1001001001000110100
322121221220120100201200
41110003201021020310
52434314323124134
6105243430052500
76343363446600
oct1240341111064
9277856510650
1090253333044
1135304720a46
12155a97aa130
138684460aa4
144522804500
15253371d499
hex1503849234

90253333044 has 108 divisors (see below), whose sum is σ = 269023609764. Its totient is φ = 25433388288.

The previous prime is 90253332997. The next prime is 90253333069. The reversal of 90253333044 is 44033335209.

90253333044 is a `hidden beast` number, since 90 + 2 + 533 + 3 + 30 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41836611600 + 48416721444 = 204540^2 + 220038^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221667 + ... + 479210.

Almost surely, 290253333044 is an apocalyptic number.

It is an amenable number.

90253333044 is an abundant number, since it is smaller than the sum of its proper divisors (178770276720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90253333044 is a wasteful number, since it uses less digits than its factorization.

90253333044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700974 (or 700962 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 90253333044 in words is "ninety billion, two hundred fifty-three million, three hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 73 84 98 126 146 147 196 219 252 292 294 438 441 511 588 657 876 882 1022 1314 1533 1764 2044 2628 3066 3577 4599 6132 7154 9198 10731 14308 18396 21462 32193 42924 64386 128772 700877 1401754 2102631 2803508 4205262 4906139 6307893 8410524 9812278 12615786 14718417 19624556 25231572 29436834 34342973 44155251 51164021 58873668 68685946 88310502 102328042 103028919 137371892 153492063 176621004 204656084 206057838 306984126 309086757 358148147 412115676 460476189 613968252 618173514 716296294 920952378 1074444441 1236347028 1432592588 1841904756 2148888882 2507037029 3223333323 4297777764 5014074058 6446666646 7521111087 10028148116 12893333292 15042222174 22563333261 30084444348 45126666522 90253333044